765832320 has 640 divisors, whose sum is σ = 3199046400. Its totient is φ = 172523520.

The previous prime is 765832313. The next prime is 765832343. The reversal of 765832320 is 23238567.

765832320 is a `hidden beast` number, since 76 + 583 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9694041 + ... + 9694119.

It is an arithmetic number, because the mean of its divisors is an integer number (4998510).

Almost surely, 2^765832320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599523200).

765832320 is an abundant number, since it is smaller than the sum of its proper divisors (2433214080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

765832320 is a wasteful number, since it uses less digits than its factorization.

765832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 765832320 is about 27673.6755780652. The cubic root of 765832320 is about 914.9089939050.

The spelling of 765832320 in words is "seven hundred sixty-five million, eight hundred thirty-two thousand, three hundred twenty".